{
  "aliases": [
    "differential-one-form"
  ],
  "backlinks": [
    {
      "field": "defines",
      "target": "0MTENFBW3Q"
    }
  ],
  "body": "\n## Summary\n\nA one-form is a [[differential form|0E3G0GRPZ6]] of degree one.\nAt each point it gives a linear function of tangent vectors. One-forms are the natural integrands of line integrals, and the differential of a function is the basic example.\n",
  "commit": "6ac761d40018146541484a9e8b9eafd6ecc303dc",
  "front": {
    "aliases": [
      "differential-one-form"
    ],
    "kind": "concept",
    "msc": [
      "58A10"
    ],
    "name": "One-form",
    "same_as": {
      "wikidata": "Q2608202",
      "wikipedia": "One-form"
    },
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/One-form"
      }
    ],
    "tag": "02Z5B2HA3F",
    "uses": [
      "0E3G0GRPZ6"
    ]
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/02Z5B2HA3F/",
  "links": [
    {
      "field": "uses",
      "target": "0E3G0GRPZ6"
    }
  ],
  "markdown": "https://math2.tamnd.com/node/02Z5B2HA3F.md",
  "msc": [
    "58A10"
  ],
  "name": "One-form",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/02Z/02Z5B2HA3F.md",
  "status": null,
  "tag": "02Z5B2HA3F",
  "uri": "m2://02Z5B2HA3F",
  "url": "https://math2.tamnd.com/wiki/one-form/",
  "writing": {
    "tag": "02Z5B2HA3F",
    "kind": "concept",
    "level": "W1",
    "next": [
      {
        "what": "edge instance_of in",
        "note": "at least two examples",
        "have": 0,
        "want": 2
      },
      {
        "what": "edge not_instance_of in",
        "note": "at least one non-example",
        "have": 0,
        "want": 1
      },
      {
        "what": "edge specializes both",
        "note": "the more general notions and the special cases",
        "have": 0,
        "want": 1
      }
    ]
  }
}